Homework Help: algebra

Posted by geny on Monday, October 15, 2012 at 12:40pm.

Which set represents a Pythagorean triple?
27, 38, 42
33, 44, 55
35, 38, 42
68, 72, 81

Which number completes the Pythagorean triple: 12, 16, ____?
18
20
22
24
A base ball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base? (1 point)
127
81
19
13

4. A town clock has a minute hand that is 1.5 meters long and an hour hand that is 1.2 meters long. What is the approximate distance in meters between the ends of the hands at 9 o’clock? (1 point)
2.3
1.9
0.9
0.3

5. A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set? (1 point)
9
13
22
55

algebra - nellie, Monday, October 15, 2012 at 1:20pm
17

17 - 6x10 ,2+12
algebra - Steve, Monday, October 15, 2012 at 3:01pm
#1.
since you know 3,4,5 is a pythagorean triple, so is any multiple of those numbers. Looks like 33,44,55 to me.

#2
just multiply 3,4,5 by 4.

#3.
since the diagonal of a 90' square is 90√2, pick the only answer greater than 90. (you might also check it to be sure it fits)

#4.
at 9:00 you have a right triangle with legs 1.2 and 1.5. just figure the hypotenuse. (looks like another 3,4,5 triangle to me!)

#5.
to avoid working with big numbers, scale down by a factor of 6. Now you have a side of 6 and a hypotenuse of 7.
49-36 = 13, so 6*√13 = 21.6
Algebra - oops - Steve, Monday, October 15, 2012 at 3:03pm
Oops. #4 isn't 3,4,5. It's 4,5,√41, scaled by .3. SO, .3√41 = 1.9

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